New results for near-optimal control of linear multiparameter singularly perturbed systems

被引：16

作者：

Mukaidani, H ^{[1
]}

Xu, H

Mizukami, K

机构：

[1] Hiroshima Univ, Grad Sch Educ, Higashihiroshima, Hiroshima 7398524, Japan

[2] Univ Tsukuba, Grad Sch Business Sci, Bunkyo Ku, Tokyo 1120012, Japan

[3] Hiroshima Kokusai Gakuim Univ, Fac Engn, Aki Ku, Hiroshima 7390321, Japan

来源：

AUTOMATICA | 2003年 / 39卷 / 12期

关键词：

multiparameter singularly perturbed systems (MSPS); multiparameter algebraic Riccati equation (MARE); near-optimal control; epsilon-independent controller;

D O I：

10.1016/S0005-1098(03)00248-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we consider the linear quadratic optimal control problem for multiparameter singularly perturbed systems in which N lower-level fast subsystems are interconnected through a higher-level slow subsystem. Different from the existing methods, a new method is developed to design a near-optimal controller which does not depend on the unknown small parameters. It is shown that the resulting controller in fact achieves an O(parallel tomuparallel to(2)) approximation to the optimal cost of the original optimal control problem. (C) 2003 Published by Elsevier Ltd.

引用

页码：2157 / 2167

页数：11

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